231618960 has 160 divisors (see below), whose sum is σ = 804055680. Its totient is φ = 61281792.

The previous prime is 231618943. The next prime is 231618967. The reversal of 231618960 is 69816132.

231618960 is a `hidden beast` number, since 2 + 31 + 618 + 9 + 6 + 0 = 666.

231618960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (231618967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338779 + ... + 339461.

It is an arithmetic number, because the mean of its divisors is an integer number (5025348).

Almost surely, 2^231618960 is an apocalyptic number.

231618960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231618960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402027840).

231618960 is an abundant number, since it is smaller than the sum of its proper divisors (572436720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231618960 is a wasteful number, since it uses less digits than its factorization.

231618960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 231618960 is about 15219.0328207807. The cubic root of 231618960 is about 614.1267797636.

The spelling of 231618960 in words is "two hundred thirty-one million, six hundred eighteen thousand, nine hundred sixty".